so there are comics I checked out I don't want to keep reading and they keep showing up on the app on the top line as part of the new "continue reading" thing. How do I get that cleared out without "reading" the comic?

Same problem! It's really annoying and the worst is that some comics that I will not continue reading stay there since the app update, but others that I've started reading after and that I would continue reading don't show up.

In my case it's not just that, but to be honest one I checked for another reason is well... not the most kid friendly when you have a 7 year old to look at icon wise. And my son has a bad habit of if I'm looking at my phone to go and look at the screen too. I'm currently trying not to use the app around him.